### Home > ACC7 > Chapter 9 Unit 10 > Lesson CC3: 9.2.4 > Problem9-110

9-110.

Graph each of the pairs of points listed below and draw a line segment between them. Use the graph to help you find the length of each line segment. State whether each length is irrational or rational.

1. $(−3, 0) \text{ and } (0, −3)$

Draw a triangle using the segment as your hypotenuse. Then find out the lengths of the legs.

Use the Pythagorean Theorem to find the length of the hypotenuse.

$3^{2} + 3^{2} = \text{hypotenuse}^{2}$
Now solve for the hypotenuse.

$\sqrt{18} \approx 4.24 \;\text{units}$

1. $(2, 3) \text { and }(−1, 2)$

See part (a).

Use the Pythagrean Theorem to find the length of the segment.

1. $(3, 2) \text { and } (3, −3)$

Use the graph to find the length of the segment.

Use the eTool below to graph each segment.
Click the link at right for the full version of the eTool: